Points A A\,A and B B\,B have position vectors (35)\begin{pmatrix} 3 \\ 5 \end{pmatrix}(35) and (7−3)\begin{pmatrix} 7 \\ -3 \end{pmatrix}(7−3) respectively
Point C C\,C has position vector (1p)\begin{pmatrix} 1 \\ p \end{pmatrix}(1p) and ABC ABC\,ABC is a straight line.
Point D D\,D has position vector (2q)\begin{pmatrix} 2 \\ q \end{pmatrix}(2q) and angle ABD=90∘ABD = 90^{\circ}ABD=90∘
Find p p\,p and determine the value of qqq.
284 exam-style questions on Edexcel A Level Maths Vectors, covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors. Each one has a worked solution and a mark scheme showing where the marks go.